Question

Rezolvati ecuatia: log de baza 2 din x + log de baza 2 din 3 = log de baza 3 din 27

Answer 1

$log_{2}(x) + log_{2}(3) = log_{3}( 27)$

$log_{2}(x) + log_{2}(3) = log_{3}( {3}^{3} )$

$log_{2}(x) + log_{2}(3) = 3$

$log_{2}(3x) = log_{2}({2}^{3})$

$3x={2}^{3}$

$3x=8$

$x = \frac{8}{3}$